71668 has 24 divisors (see below), whose sum is σ = 141120. Its totient is φ = 31680.

The previous prime is 71663. The next prime is 71671. The reversal of 71668 is 86617.

71668 is nontrivially palindromic in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1728 + ... + 1768.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

2⁷¹⁶⁶⁸ is an apocalyptic number.

It is an amenable number.

71668 is a deficient number, since it is larger than the sum of its proper divisors (69452).

71668 is a wasteful number, since it uses less digits than its factorization.

71668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 85 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 71668 is about 267.7087970165. The cubic root of 71668 is about 41.5376346077.

It can be divided in two parts, 716 and 68, that added together give a square (784 = 28²).

The spelling of 71668 in words is "seventy-one thousand, six hundred sixty-eight".